You can do the same anywhere 1+1/(N*2*PI) kilometres from the South pole, where N is a positive integer. But there are no bears to be found there. I suppose you might be able to do the same another place with a big magnet and polar bears. I wonder where that might be...

I should have thought of that since I had basically the same question on an astronomy test many years ago. However since there are no polar bears at the south pole, you still have to be at the north pole for biological, if not geometric, reasons.